Includes bibliographical references.
|Statement||by Ch. Pommerenke.|
|Series||Annales academiae scientarium Fennicae. Series A. I: Mathematica, 476|
|LC Classifications||Q60 .H5232 no. 476, QA331 .H5232 no. 476|
|The Physical Object|
|Number of Pages||10|
|LC Control Number||73863528|
A meromorphic function is allowed to take the value $\infty$ (this is an unsigned complex infinity), while a holomorphic function is not. Since infinite values are allowed but not required, every holomorphic function is meromorphic, but not the other way around. (It is standard to say that the function is undefined rather than that its value is infinite, but it's important that the limit be. Argument estimates of certain meromorphic functions associated with the generalized Bessel function Article (PDF Available) in Bollettino dell Unione Matematica Italiana 9(4) March with. So, a meromorphic function with the domain of the problem statement can have an essential singularity. $\endgroup$ – user May 14 '14 at $\begingroup$ @PaulHurst, perhaps you mean that meromorphic functions cannot have essential singularities in their domains? $\endgroup$ – user May 14 '14 at In complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points, which are poles for the function.. Subcategories. This category has only the following subcategory.
Get this from a library! Meromorphic Functions over Non-Archimedean Fields. [Pei-Chu Hu; Chung-Chun Yang] -- This book introduces value distribution theory over non-Archimedean fields, starting with a survey of two Nevanlinna-type main theorems and defect relations for . We shall develop in this course Nevanlinna’s theory of meromorphic functions. This theory has proved a tool of unparallelled precision for the study of the roots of equations f(z) = a, f(1)(z) = b, etc. whether single or multiple and their relative frequency. Basic to this study is the. Meromorphic functions of several complex variables. Let be a domain in (or an -dimensional complex manifold) and let be a (complex-) analytic subset of codimension one (or empty). A holomorphic function defined on is called a meromorphic function in if for every point one can find an arbitrarily small neighbourhood of in and functions holomorphic in without common non-invertible factors in. 1. Bagemihl, F.: Some approximation theorems for normal functions. Ann. Acad. Sci. Fennicae Ser. AI, 1–5 (). Google ScholarCited by: 9.
The purpose of the present paper is to derive some inclusion properties and argument estimates of certain classes of meromorphic functions in the punctured unit disc, which are defined by means of Bessel function. Furthermore, the integral preserving properties in a sector are : H. E. Darwish, A. Y. Lashin, B. F. Hassan. 1. Meromorphic functions with separated poles and zeros 2. Meromorphic functions with poles and zeros located close to a system of rays 3. Proofs of main Theorems and 4. Meromorphic functions with poles and zeros located in small angles 5. Entire functions with derivatives only vanishing close to the real axis Chapter 7. The book provides a basic introduction to the development of the theory of entire and meromorphic functions from the s to the early s. After an opening chapter introducing fundamentals of Nevanlinna's value distribution theory, the book discusses various relationships among and developments of three central concepts: deficient value Author: Zhang Guan-Hou. meromorphic function[¦merə¦mȯrfik ′fəŋkshən] (mathematics) A function of complex variables which is analytic in its domain of definition save at a finite number of points which are poles. Meromorphic Function a function that can be represented in the form of a quotient of two entire functions, that is, the quotient of the sums of two.